数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (1): 311-318.doi: 10.1007/s10473-021-0118-0

• 论文 • 上一篇    下一篇

ON THE CAUCHY PROBLEM FOR AW-RASCLE SYSTEM WITH LINEAR DAMPING

Juan C. JUAJIBIOY   

  1. Escuela de Matemáticas y Estadística, Universidad Pedagógica y Tecnológica de Colombia, Tunja 15001, Boyacá, Colombia
  • 收稿日期:2019-09-16 出版日期:2021-02-25 发布日期:2021-04-06
  • 作者简介:Juan C. JUAJIBIOY,E-mail:juan.juajibioy@uptc.edu.co

ON THE CAUCHY PROBLEM FOR AW-RASCLE SYSTEM WITH LINEAR DAMPING

Juan C. JUAJIBIOY   

  1. Escuela de Matemáticas y Estadística, Universidad Pedagógica y Tecnológica de Colombia, Tunja 15001, Boyacá, Colombia
  • Received:2019-09-16 Online:2021-02-25 Published:2021-04-06
  • About author:Juan C. JUAJIBIOY,E-mail:juan.juajibioy@uptc.edu.co

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摘要： The existence of global BV solutions for the Aw-Rascle system with linear damping is considered. In order to get approximate solutions we consider the system in Lagrangian coordinates, then by using the wave front tracking method coupling with and suitable splitting algorithm and the ideas of [1] we get a sequence of approximate solutions. Finally we show the convergence of this approximate sequence to the weak entropic solution.

关键词: wave front tracking, global weak entropy solutions, linear damping

Abstract: The existence of global BV solutions for the Aw-Rascle system with linear damping is considered. In order to get approximate solutions we consider the system in Lagrangian coordinates, then by using the wave front tracking method coupling with and suitable splitting algorithm and the ideas of [1] we get a sequence of approximate solutions. Finally we show the convergence of this approximate sequence to the weak entropic solution.

Key words: wave front tracking, global weak entropy solutions, linear damping

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  • 35L65
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